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  An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra

Coloma, M., Fiorenza, D., & Landi, E. (2022). An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra. Expositiones Mathematicae, 40(2), 357-394. doi:10.1016/j.exmath.2021.11.003.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-0278-D Version Permalink: https://hdl.handle.net/21.11116/0000-000A-B071-F
Genre: Journal Article

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1911.12035.pdf (Preprint), 694KB
 
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 Creators:
Coloma, Mattia, Author
Fiorenza, Domenico1, Author           
Landi, Eugenio, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 Abstract: We give an informal exposition of pushforwards and orientations in
generalized cohomology theories in the language of spectra. The whole note can
be seen as an attempt at convincing the reader that Todd classes in
Grothendieck-Hirzebruch-Riemann-Roch type formulas are not Devil's appearances
but rather that things just go in the most natural possible way.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1911.12035
DOI: 10.1016/j.exmath.2021.11.003
 Degree: -

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Title: Expositiones Mathematicae
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 40 (2) Sequence Number: - Start / End Page: 357 - 394 Identifier: -